Optimization of the target for muon colliders

We analyze the design of the target for pion production and energy deposition for the muon-muon collider using the nuclear cascade codes. Heat removal from high-energy deposition in the target is discussed, together with the use of a target compressed by a laser, or light- and heavy-ions drivers. The latter approach needs further technological development, but it can reduce substantially the energy needed to collect and control the produced muons